The equation of the line fully simplified in slope intercept form is y = 10/3x - 8
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
<h3>How to determine the equation?</h3>
The points are given as:
(0, - 8) and (3, 2).
Calculate the slope of the line using
m = (y2 - y1)/(x2 - x1)
This gives
m = (2 + 8)/(3 - 0)
Evaluate
m = 10/3
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 10/3(x -0) - 8
Evaluate
y = 10/3x - 8
Hence, the equation of the line fully simplified in slope intercept form is y = 10/3x - 8
Read more about linear equations at:
brainly.com/question/14323743
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<u>Complete question</u>
Write the equation fully simplified slope intercept form of a line that passes though the points (0, - 8) and (3, 2).